Q: What are the prime factors of the number 965,991?

 A: 3, 13, 17, 31, 47

Why are those the prime factors of the number 965,991?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 965,991

965,991
Factor Arrows
3321,997
Factor Arrows
1324,769
Factor Arrows
171,457
Factor Arrows
3147

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 13, 17, 31, 47

We can check our work by multiplying all of the prime factors together: 3 x 13 x 17 x 31 x 47 = 965,991

This can also be written as 31 x 131 x 171 x 311 x 471 = 965,991

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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